Classical and quantum chaos of the wedge billiard. II. Quantum mechanics and quantization rules

In this second of two papers on the classical-quantum correspondence of the wedge billiard, attention is focused on testing a number of quantization schemes based on the Gutzwiller periodic-orbit theory. To begin with, accurate values of the energy eigenvalues of the Schrödinger equation for the 49° wedge and the 60° wedge have been calculated by means of a large matrix diagonalization. These are used to judge the success of various approaches …